MathematicsOptionalMTH-DIFFG-327
Riemannian Metrics
connections, parallel transport, curvature tensors
- Difficulty
- 4 / 5
- Importance
- 4 / 5
- Study time
- 6.5–12 h
- Kind of work
- Theory
Why it matters
Studies curved spaces with calculus; the mathematical language of general relativity, robotics, graphics and modern physics.
Where it is used
General relativity, computer graphics surfaces, robotics kinematics, data manifold learning, materials science.
How you know you have learned it
Explain/derive key result from memory + solve 2 non-routine checks.
Resources
- Introduction to Smooth Manifolds (Lee) — John Lee Book